1202.2326 (Hussain Anwar et al.)

Qutrit Magic State Distillation    [PDF]

Hussain Anwar, Earl T. Campbell, Dan E. Browne

Magic state distillation (MSD) is a purification protocol that plays a
central role in fault tolerant quantum computation. Repeated iteration of the
steps of a MSD protocol, generates pure single non-stabilizer states, or magic
states, from multiple copies of a mixed resource state using stabilizer
operations only. Thus mixed resource states promote the stabilizer operations
to full universality. Magic state distillation was introduced for qubit-based
quantum computation, but little has been known concerning MSD in higher
dimensional qudit-based computation. Here, we describe a general approach for
studying MSD in higher dimensions. We use it to investigate the features of a
qutrit MSD protocol based on the 5-qutrit stabilizer code. We show that this
protocol distills non-stabilizer magic states, and identify two types of
states, that are attractors of this iteration map. Finally, we show how these
states may be converted, via stabilizer circuits alone, into a state suitable
for state injected implementation of a non-Clifford phase gate, enabling
non-Clifford unitary computation.

View original: http://arxiv.org/abs/1202.2326